Answer:
Mark must score at least 11 points to have an average of 10 points per game.
Step-by-step explanation:
The average of a set of data is its sum, divided by the number of data points in the set. If p is the number of points Mark scores in his next game, and he wants his average at least 10, then the relation is ...
(12 +14 +10 +8 +5 +p)/6 ≥ 10
49 +p ≥ 60 . . . . . . . . . multiply by 6 and simplify
p ≥ 11 . . . . . . . . . . . subtract 49
Mark must score at least 11 points in the next game to average at least 10 points per game.
_____
<em>Additional comment</em>
Sometimes, it is convenient to work with the average directly. Relative to the average Mark wants (10), his scores so far are +2, +4, 0, -2, -5, for a total of -1. In order to bring the average to the value Mark wants, he must bring this total to 0 or higher. That is, he must score at least 10+1 = 11 points in his next game.
There are 36 drama DVD's
<em><u>Solution:</u></em>
Given that there are 48 DVD's of comedies and dramas on shelf
25 % of DVD's are comedies
To find: number of drama DVD's
Total number of dvd = 48
Number of comedy dvd = 25 % of 48
Let us find 25 % of 48
Thus, number of comedy dvd = 12
Thus we get,
number of drama DVD's = Total number of dvd - number of comedy dvd
number of drama dvd = 48 - 12 = 36
Thus there are 36 drama dvd's
Answer:
61
Step-by-step explanation:
Answer B
I could be wrong
Explanation
Answer:
x = 1
Step-by-step explanation:
Well the first step is to apply the distributive property:
4(3x - 1) is equal to (12x - 4). You DISTRIBUTE a '4' to what is inside the parentheses.
And btw, to make it easier, you can make 9 - x so that x is first. For example, (-x + 9). They're both the same thing, just written differently.
Your new equation is 12x - 4 = -x + 9. You want to now solve the equation.
Add the (-x) to both sides. It cancels out on the right side and you add it to 12x on the left side.
[If there's no number in front of a variable, you can always just put 1 in order to make it easier]
12x + 1x = 13x. Your new equation is 13x - 4 = 9. This should look very familiar. You simply add 4 to both sides. 9 + 4 = 13
Finally, 13x = 13. Divide 13 ÷ 13 to get 1.
x = 1
